45529134110784 has 189 divisors, whose sum is σ = 131121789025773. Its totient is φ = 15104530358784.

The previous prime is 45529134110743. The next prime is 45529134110809. The reversal of 45529134110784 is 48701143192554.

The square root of 45529134110784 is 6747528.

It is a perfect power (a square), and thus also a powerful number.

45529134110784 is a `hidden beast` number, since 4 + 5 + 5 + 291 + 341 + 1 + 0 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21289660421184 + 24239473689600 = 4614072^2 + 4923360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45529134110784.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42590396202 + ... + 42590397270.

Almost surely, 2^{45529134110784} is an apocalyptic number.

45529134110784 is the 6747528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45529134110784

45529134110784 is an abundant number, since it is smaller than the sum of its proper divisors (85592654914989).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45529134110784 is an frugal number, since it uses more digits than its factorization.

45529134110784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 45529134110784 in words is "forty-five trillion, five hundred twenty-nine billion, one hundred thirty-four million, one hundred ten thousand, seven hundred eighty-four".